One-Step Inequalities: Lesson 1.b

One-Step Inequalities

Lesson 1.b - Solving Inequalities

Solving One-Step Inequalities

• Treat inequalities like equations. You want to get the variable by itself by using inverse operations.

• Ex 1: 3 + m > 15

• Subtract 3 to both sides

• m > 12

• Ex 2: 4x < 64

• Divided both sides by 4

• x < 16

Solving One-Step Inequalities

Same method as with Equations.

Keep the inequality symbol!

*The ONLY time the symbol changes is when you MULTIPLY or DIVIDED by a NEGATIVE number*

Multiple Choice

Solve the Inequality:

m - 10 < 30

• m = 40

• m < 40

• m = 20

• m < 20

Multiple Choice

Solve
-5m < 10

• m < -2
• m > -2
• m < -50
• m > -50

Multiple Choice

m ⁄ 7 > -14

• m > -98
• m < -98
• m > -2
• m < -2

Multiple Choice

8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

r - 12 ≥ 17

• r ≥ 5

• r ≥ -29

• r ≥ 29

• r ≥ -5

Multiple Choice

24 ≤ h + 15

• h ≥ -9
• h ≥ 9
• h ≤ 9
• h ≤ 39

Multiple Choice

-8x < 48

• x < -6
• x > -6
• x < 6
• x > 6

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18